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(a) The Legendre's Equation (1-x)y"-2y+n (n+ 1)y=0 where n is a constant. Express the following equations in terms of Legendre's Polynomial. (6) 2r- 5r + 6r + 1 (i) --4r-Sx+5 (b) Transform the function f(x) = 4x – 2x? – 3x + 8 using the Legendre's polynomial function

(a) The Legendre's Equation (1-x)y"-2y+n (n+ 1)y=0 where n is a constant. Express the following equations in terms of Legendre's Polynomial. (6) 2r- 5r + 6r + 1 (i) --4r-Sx+5 (b) Transform the function f(x) = 4x – 2x? – 3x + 8 using the Legendre's polynomial function

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3.(a) The Legendre's Equation (1-x) y"- 2y' + n ( n+ 1)y 0 where n is a constant. Express the following equations in terms of Legendre's Polynomial. (i) 2r - 5x + 6x + 1 (ii) -r - 4x - 5x +5 (b) Transform the function f(x) = 4x – 2x? – 3x + 8 using the Legendre's polynomial function Oooooooo00000000000000ooo000000
Transcribed Image Text:3.(a) The Legendre's Equation (1-x) y"- 2y' + n ( n+ 1)y 0 where n is a constant. Express the following equations in terms of Legendre's Polynomial. (i) 2r - 5x + 6x + 1 (ii) -r - 4x - 5x +5 (b) Transform the function f(x) = 4x – 2x? – 3x + 8 using the Legendre's polynomial function Oooooooo00000000000000ooo000000
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